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The thermal properties of a system, comprising of a spinless non-interactingcharged particle in the presence of a constant external magnetic field andconfined in a parabolic quantum well are studied. The focus has been on theeffects of a topological defect, of the form of conical disclination, withregard to the thermodynamic properties of the system. We have obtained themodifications to the traditional Landau-Fock-Darwin spectrum in the presence ofconical disclination. The effect of the conical kink on the degeneracystructure of the energy levels is investigated. The canonical formalism is usedto compute various thermodynamic variables. The study shows an interplaybetween magnetic field, temperature and the degree of conicity by setting twoscales for temperature corresponding to the frequency of the confiningpotential and the cyclotron frequency of external magnetic field. The kinkparameter is found to affect the quantitative behaviour of the thermodynamicquantities. It plays a crucial role in the competition between the externalmagnetic field and temperature in fixing the values of the thermal responsefunctions. This study provides an important motivation for studying similarsystems, however with non trivial interactions in the presence of topologicaldefects.

Thermal Properties of a Particle Confined to a Parabolic Quantum Well in 2D Space with Conical Disclination